Structure -convexe d’une algèbre limite inductive localement convexe d’algèbres de Banach
Structure of locally idempotent algebras.
Sul teorema di Gelfand-Mazur
In this note we produce a complex algebra without characters and which does not contain a proper extension of the complex number field.
Sums of idempotents and a lemma of N. J. Kalton
A lemma of Gelfand-Hille type is proved. It is used to give an improved version of a result of Kalton on sums of idempotents.
Supersets for the spectrum of elements in extended Banach algebras.
Superstability of multipliers and ring derivations on Banach algebras.
Sur des Algebres Topologiques (I_j)_j |in J - Adiques
Sur la décomposition d'une algèbre topologique en produit cartésien d'idéaux
Sur la semi-norme spectrale supérieure des algèbres de Banach ultramétrique.
Sur le radical permanent dans les algèbres topologiques
Sur les conjectures de Hirschfeld et Zelazko dans les algèbres de Banach
Sur les transformations additives qui conservent le spectre de surjection.
Sur l'expression du radical et du spectre dans une algèbre normée non complète.
Survey of some results in spectral theory obtained in Prague
Tensor products of topological algebras and analytic sets
The beginning of the spectral theory of Nevanlinna's mapping from topological space to endomorphisms algebra of Banach space and its applications.
The canonical test case for the non-commutative Singer-Wermer conjecture
It is a famous conjecture that every derivation on each Banach algebra leaves every primitive ideal of the algebra invariant. This conjecture is known to be true if, in addition, the derivation is assumed to be continuous. It is also known to be true if the algebra is commutative, in which case the derivation necessarily maps into the (Jacobson) radical. Because I. M. Singer and J. Wermer originally raised the question in 1955 for the case of commutative Banach algebras, the conjecture is...
The center of topologically primitive exponentially galbed algebras.
The center of topologically primitive galbed algebras
It is shown that every unital σ-complete topologically primitive strongly galbed Hausdorff algebra in which all elements are bounded is central
The closure of the invertibles in a von Neumann algebra
In this paper we consider a subset  of a Banach algebra A (containing all elements of A which have a generalized inverse) and characterize membership in the closure of the invertibles for the elements of Â. Thus our result yields a characterization of the closure of the invertible group for all those Banach algebras A which satisfy  = A. In particular, we prove that  = A when A is a von Neumann algebra. We also derive from our characterization new proofs of previously known results, namely Feldman...